# Information on “stronger form” of Dirichlet's Theorem on Arithmetic Progressions

From Wikipedia:

"Stronger forms of Dirichlet's theorem state that, for any arithmetic progression, the sum of the reciprocals of the prime numbers in the progression diverges."

Can anyone direct me to a proof of this "stronger" fact, or a paper that discusses it? Thanks.

• The standard proof of Dirichlet's theorem proves this. – Qiaochu Yuan May 28 '13 at 2:43
• @QiaochuYuan : good point, just scanned a couple of the standard proofs online. thanks. – Coffee_Table May 28 '13 at 3:03